Having claimed to have already rejected a €50 million (£44m/$58m) offer from City, Napoli club president Aurelio De Laurentiis said in a recent interview that a deal could be done "in the next few days".
Joao Santos - who represents Jorginho - insists the midfielder is content to stay put, should a career-defining move to the Etihad Stadium fail to materialise.
"Jorginho is good at Napoli, but there are negotiations with Manchester City and this is why we do not talk about a renewal," he told TuttoMercatoWeb.
"We are talking about a lad for whom Manchester City represents the opportunity of a lifetime.
"But beware - he would not be sad if he stayed in Naples. In Naples the lad is well and is happy."
Born in Brazil, the 26-year-old opted to represent Italy at international level. He made his debut for the Azzurri in March 2016 and has won eight caps to date.